The empire state building in new york city is about 1,450 feet high (including the antenna at the top) and 400 feet wide. Andre wants to make a scale drawing of the front view of the empire state building on an 8 1/2 inch by 11 inch piece of paper. select a scale that you think is the most appropriate for the scale drawing.
A. 1 inch to 1 foot
B. 1 inch to 100 feet
C. 1 inch to 1 mile
D. 1 centimeter to 1 meter
E. 1 centimeter to 50 meters
F. 1 centimeter to 1 kilometer

Answer:

(b-5)(b-3)

Step-by-step explanation:

To factor this equation we have to find 2 numbers that combine to equal -8 and multiply together to equal 15

these numbers would be -3 and -5

after that you just put them in an equation like so:

(b-5)(b-3)

you can check your work by just multiplying those back together

If you want future explanation on how to do this just ask

hope this helps :D

The composition of the functions, f(g(-1)) = 2.

To find the composition of the functions, f(g(-1)), first, find the function, g(-1) by tracing the value of y that will give an x-value of -1 on the function graph.

The next step is to use the value you get in the first step to trace which value of y will give an x-value equivalent to what you got in the first step on the second function graph.

Thus, from the graph of g(x), g(-1) = 0. Using the graph of f(x), the value of y when x = 0 is 2.

Therefore, the composition of the functions, f(g(-1)) = 2.

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The system of nonlinear equations have two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).

In this problem we find a system of two nonlinear equations involving radical expressions. We proceed to resolve the system of nonlinear equations by algebra properties:

(2 · x - 1)² + 8√(2 · x · y) = 4

8√(2 · x · y) = 4 - (2 · x - 1)²

8√(2 · x · y) = 4 - 4 · x² + 4 · x - 1

8√(2 · x · y) = 4 · x - 4 · x² + 3

64 · (2 · x · y) = [(4 · x + 3) - 4 · x²]²

128 · x · y = (4 · x + 3)² - 8 · (4 · x + 3) · x² + 64 · x⁴

128 · x · y = 16 · x² + 24 · x + 9 - 32 · x³ - 24 · x² + 64 · x⁴            (1)

4 · y - √(8 · x · y - 1) = 1

4 · y - 1 = √(8 · x · y - 1)

(4 · y - 1)² = 8 · x · y - 1

16 · y² - 8 · y + 2 = 8 · x · y                                                             (2)

Now we plot two equations on a graphing tool and find that the system has the following two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).

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The solution of the given expression (4 1/3) (-2) (5/13) is -130/13.

According to the given question.

We have an expression (4 1/3) (-2) (5/13).

Here, we have to solve the given expression.

So, the solution of the expression (4 1/3) (-2) (5/13) is given by

(4 1/3) (-2) (5/13)

= (13/3)(-2)(5/-13)   (by converting the mixed fraction into improper fraction)

= (-26/13)(5/13)

= -130/13

Hence, the solution of the given expression (4 1/3) (-2) (5/13) is -130/13.

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Answer:

256, 8192

{This is an educated guess}

Step-by-step explanation:

The problem seems to be a variation of the Fibonacci sequence: 1, 1, 2, 3, 5, 8...

1 ⇒ 2: 1*2

2 ⇒ 2: 2*1

2 ⇒ 4: 2*2

4⇒8:4*2

8⇒32:8*4

32⇒256: 32*8

256*32 = 8192

The Domain is   [-4, -2] U  [-1, 1)  and range is [4, 0)

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

Given:

The left piece has its other endpoint at x = -2.

So, the interval for the domain is [-4, -2] and the other part is [-1, 1)

So, the domain is [-4, -2] U  [-1, 1)

and the range is the vertical range of the right part.

So, range is [4, 0)

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Answer:

x+4+2x-7=180

3x-3=180

3x=183

x=61

Answer:

(1, 1,-3)

Step-by-step explanation:

Temperature is a physical quantity that expresses the hotness of matter or radiation. The heat increases an objects temperature.

Temperature is a physical quantity that expresses the hotness of matter or radiation.

The temperature of the object increases due to the absorbed part of the heat. An object decreases its temperature by releasing energy in the form of heat to its surroundings. And an object increases its temperature by gaining energy in the form of heat from its surroundings.

So the temperature changes according to the heat of the surrounding.

Therefore the heat increases an objects temperature.

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Answer:

the slope is 9 and the y-intercept is -2

Answer:

[tex]\sqrt{4}[/tex], [tex]\sqrt{9}[/tex], [tex]\sqrt{16}[/tex]

Step-by-step explanation:

I think that you are asking for 3 examples of square roots that are rational.  All perfect squares are rational.  If the square root is not a perfect square then the number is irrational.

[tex]\sqrt{4[/tex] = 2 and -2.  The number multiplied by itself is an integer.  Integers are the whole numbers and their opposites: ...-3, -2, -1,  0, 1, 2, 3...  

1/2 is not an integers.  0.75 is not an integer.

[tex]\sqrt{9}[/tex]  is 3 and -3

[tex]\sqrt{16}[/tex] is 4 and -4

Numbers like:

[tex]\sqrt{3}[/tex] is irrational because this number in a decimal form never terminates or repeats.  

Answer:

29

Step-by-step explanation:

Answer: the answer is MO=5

Step-by-step explanation:

Answer:

2556285=68358556

Step-by-step explanation:

+58385-5838688(68589)8999=9858288

Answer:

2[tex] {}^{5} [/tex]

Step-by-step explanation:

2×2×2×2×2 = 2[tex] {}^{5} [/tex]

Answer:

$32.07

Step-by-step explanation:

Just add them together.

Answer: 66.2=54.5+3gg

gg=3.9 gigabytes

Step-by-step explanation:

66.2=54.5+3gg

3gg=66.2-54.5

3gg=11.7

gg=3.9 gigabytes

3.9 number of gigabytes of data William can use while staying within his budget.

Two or more expressions with an Equal sign is called as Equation.

Given,

William pays a flat cost of $54.50 per month and $3 per gigabyte.

He wants to keep his bill at $66.20 per month.

We need to solve this and to find number of gigabytes of data William can use while staying within his budget.

This can be written as equation

66.2=54.5+3gg

Subtract 54.5 from both sides

66.2=54.5+3gg

3gg=66.2-54.5

3gg=11.7

Divide both sides by 3

gg=3.9 gigabytes

Hence, 3.9 number of gigabytes of data William can use while staying within his budget.

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Answer:

No

Step-by-step explanation:

B/c trinomial has exactly 3 terms and binomial only have 2

Let the another side be x m.

Therefore, the longer side = (4 + 4x) m.

Now,

[tex]{\sf{→x \times (4 + 4x) = 224 \\ →4x + 4x {}^{2} - 224 = 0 \\→ x {}^{2} + x - 56 = 0 \\ →x {}^{2} + 8x - 7x - 56 = 0 \\ →x(x + 8) - 7(x + 8) = 0 \\ →(x - 7)(x +8 ) = 0 \\ →x = 7 \: or \: x = - 8 \\ \\ length \: cannot \: be \: negative \\ possible \: solution \: (x) = 7}}[/tex]

Length of shorter side = x = 7 metres.

[tex]{\sf{answer\: \\ss}}[/tex]

5x-15=5+4x

    +15 +5

   5x=20+4x

  -4x       -4x

     x= 20

Step-by-step explanation:

Answer:(7/9)^12

Step-by-step explanation:

Answer:

C. (7/9)^12

Step-by-step explanation:

(49/81)^6 = (7^2/9^2)^6 = (7/9)^(2x6) = (7/9)^12

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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Answer:

3rd option

Step-by-step explanation:

One of our exponent rules tells us that [tex](\frac{x}{y} )^{z}[/tex] =  [tex]\frac{x^{z} }{y^{z} }[/tex]. So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?

We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.

Let me know if you have any questions!

Answer:

tianna has saved $300 and genesis has saved $100

Step-by-step explanation:

3 plus 1 is 4

400 divided by four is 100

3 times 100 is 300

1 times 100 is 100

tianna saved 300

genesis saved 100

The vertex of the quadratic function f(x) = (x + 3)² - 4 is (-3,-4)

Given a quadratic function, the equation of the quadratic function in vertex form is given by f(x) = a(x - h)² + k where

Now, given the quadratic function f(x) = (x + 3)² - 4, we require the vertex of the quadratic function.

Comparing the function f(x) = (x + 3)² - 4 with f(x) a(x - h)² + k, we see that

Since the vertex of the quadratic function is (h, k), we see that the vertex of the quadratic function f(x) is (-3,-4)

So, the vertex of the quadratic function is (-3,-4)

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